Abstract
A continuum X having the property of Kelley is constructed such that neither X × [0, 1], nor the hyperspace C(X), nor small Whitney levels in C(X) have the property of Kelley. This answers several questions asked in the literature.
Recommended Citation
W. J. Charatonik and J. J. Charatonik, "Property of Kelley for the Cartesian Products and Hyperspaces," Proceedings of the American Mathematical Society, vol. 136, no. 1, pp. 341 - 346, American Mathematical Society, Jan 2008.
The definitive version is available at https://doi.org/10.1090/S0002-9939-07-08650-9
Department(s)
Mathematics and Statistics
Keywords and Phrases
Cartesian Product; Continuum; Property Of Kelley; Continuity; Hyperspace
International Standard Serial Number (ISSN)
0002-9939
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2008 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 2008
